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Simplifying -7(v + 2) + 2v + 6 = 7v + 7 Reorder the terms: -7(2 + v) + 2v + 6 = 7v + 7 (2 * -7 + v * -7) + 2v + 6 = 7v + 7 (-14 + -7v) + 2v + 6 = 7v + 7 Reorder the terms: -14 + 6 + -7v + 2v = 7v + 7 Combine like terms: -14 + 6 = -8 -8 + -7v + 2v = 7v + 7 Combine like terms: -7v + 2v = -5v -8 + -5v = 7v + 7 Reorder the terms: -8 + -5v = 7 + 7v Solving -8 + -5v = 7 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -8 + -5v + -7v = 7 + 7v + -7v Combine like terms: -5v + -7v = -12v -8 + -12v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 -8 + -12v = 7 + 0 -8 + -12v = 7 Add '8' to each side of the equation. -8 + 8 + -12v = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -12v = 7 + 8 -12v = 7 + 8 Combine like terms: 7 + 8 = 15 -12v = 15 Divide each side by '-12'. v = -1.25 Simplifying v = -1.25
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